what is the decimal equivalent of the binary 101111?
SOLUTION:
Step 1: Write down the binary number:
101111
Step 2: Multiply each digit of the binary number by the corresponding power of two:
1x25 + 0x24 + 1x23 + 1x22 + 1x21 + 1x20
Step 3: Solve the powers:
1x32 + 0x16 + 1x8 + 1x4 + 1x2 + 1x1 = 32 + 0 + 8 + 4 + 2 + 1
Step 4: Add up the numbers written above:
32 + 0 + 8 + 4 + 2 + 1 = 47
So, 47 is the decimal equivalent of the binary number 101111.
FINAL ANSWER:
[tex]\huge\green{\boxed{47}}[/tex]
