Question

If \( \Delta \) represents '1' and \( o \) represents '0', what will be the one's complement of \( o\Delta\Delta oo\Delta \)?

• A. \( 011001 \)
• B. \( 100110 \)
• C. \( 101010 \)
• D. \( 000000 \)

Hint:

To compute the one's complement of a binary number, simply flip all the bits: change \( 0 \) to \( 1 \) and \( 1 \) to \( 0 \).

Answer 1

The Correct Option is B

Step 1: Interpret the given binary representation. The symbols \( \Delta \) represent '1' and \( o \) represent '0'. Thus, the given number \( o\Delta\Delta oo\Delta \) translates to: \[ o\Delta\Delta oo\Delta = 011001 \] Step 2: Compute the one's complement. The one's complement of a binary number is obtained by flipping all the bits, i.e., replacing every '0' with '1' and every '1' with '0'. Therefore: \[ \text{One's complement of } 011001 = 100110 \] Thus, the one's complement of \( o\Delta\Delta oo\Delta \) is \( 100110 \).