Question

Perform addition and subtraction in 6-bit unsigned binary, where the addition can accommodate a 7-bit outcome by including the last carry out bit:

a) 011110+101110=
b) 101000−000110=

Answer 1

To perform addition and subtraction in 6-bit unsigned binary, we can follow the rules of binary arithmetic. The correct answer is a) 1100010 b) 11010.

Step-by-step explanation:

To perform addition and subtraction in 6-bit unsigned binary, we follow the rules of binary arithmetic. For addition, we add the digits of the binary numbers from right to left, just like in decimal addition. If there is a carry out in the leftmost bit, we include the last carry out bit in the answer.

For subtraction, we convert the number being subtracted to its two's complement form and then add it to the other number. Here are the calculations for the given examples: a) 011110 + 101110 = 100010. There is a carry out of 1 in the leftmost bit, so the answer is 1100010.

b) 101000 - 000110 = 100010. The two's complement of 000110 is 111010, so the subtraction becomes 101000 + 111010 = 1001010. There is no carry out in this case, so the answer is 11010.