What is the maximum value of a BCD number that can be saved in a 16-bit register?

What is the maximum value of a BCD number that can be saved in a 16-bit register?

What is the maximum value of a BCD number that can be saved in a 16-bit register?

65,535
A 16-bit register can store a positive number between 0 and 216 − 1, that is, 65,535. Thus a 16-bit word can be used for positive numbers in the range 0 to 65,535.

What is the largest binary number with 16 bits What is its decimal equivalent?

The largest binary number that can be obtained with 16 bits is1111111111111111Its decimal equivalent is65535.. The largest binary number that can be obtained with 16 bits is 1111 1111 1111 1111. Its decimal equivalent is 65535.

What is the maximum binary value that a BCD digit can take on?

The use of a single byte (8-bits) to store or display two BCD digits, allowing a byte to hold a BCD number in the range of 00 – 99, is known as packed BCD.

What is the maximum value you can have for a signed 16-bit integer?

32767
The smallest signed 16-bit number is -32768 and the largest is 32767.

What is the maximum BCD value?

For the arithmetic addition of two decimal digits in BCD, the maximum value that may be produced as the result is 9 + 9 + 1 = 19 (two largest operands plus the carry). If we try to add two decimal digits in BCD with a 4-bit ripple-carry adder we will get a binary sum ranging from 0 to 19.

What is the highest 16 bit number in hexadecimal?

6 to 64 Bits: Hexadecimal Numbers Significant to Drive/Partition Limits

Bits Bytes Max. Hex Number
6 3F (63)
8 1 FF (255)
10 3FF (1023)
16 2 FFFF

What is the maximum decimal number possible to represent with 16 bits?

For an unsigned short, all 16 bits are used to represent the value, so the largest representable number is 216 − 1 = 65,535.

How do you convert binary to BCD?

There are the following steps to convert the binary number to BCD: First, we will convert the binary number into decimal. We will convert the decimal number into BCD….Example 1: (11110) 2.

Binary Code Decimal Number BCD Code
A B C D B4 :B3B2B1B0
0 0 0 0 0 0 : 0 0 0 0
0 0 0 1 1 0 : 0 0 0 1
0 0 1 0 2 0 : 0 0 1 0

What is the maximum number of addresses that can be generated by 16-bit address bus?

A 16 bit address bus can generate___ addresses: 32767.

How do you convert 16-bit binary to hexadecimal?

First convert this into decimal number: = (1101010)2 = 1×26+1×25+0x24+1×23+0x22+1×21+0x20 = 64+32+0+8+0+2+0 = (106)10 Then, convert it into hexadecimal number = (106)10 = 6×161+10×160 = (6A)16 which is answer.

What is the fastest way to convert 16-bit integers to BCDs?

One of the faster methods uses binary weighted decimal constants to decompose the 16-bit integer into 5 BCD digits from most to least significant digit. For the MSD the constants are 40000 and 20000, for the next they are 8000, 4000, 2000, 1000 then 800, 400, 200, 100, then 80, 40, 20, 10.

What is the binary to BCD conversion algorithm?

Binary to BCD Conversion Algorithm Purpose: Conversion of a binary number into separate binary numbers representing digits of the decimal number. (this example is for 8-bits, other sizes follow the same pattern) Algorithm: If any column (100’s, 10’s, 1’s, etc.) is 5 or greater, add 3 to that column.

How many BCD’s can be contained in a 14 bit input?

Show activity on this post. Note four BCD digits can be wholly contained in 14 bits of input (your Hex_Display_Data) and unused bcd ‘bits’ (19 downto 16) will get eaten during synthesis along with all the add 3’s that can’t occur because their upper two bits are ‘0’s (not > 4).

What are the BCD numbers for the MSD?

For the MSD the constants are 40000 and 20000, for the next they are 8000, 4000, 2000, 1000 then 800, 400, 200, 100, then 80, 40, 20, 10. This method uses 14 comparisons, and up to 14 subtractions and bit sets to create 5 BCD digits.