1. What is the decimal equivalent of the binary number $101101_2$

• [ ] A. 43
• [ ] B. 45
• [x] C. 44
• [ ] D. 47

101101₂ = 32 + 0 + 8 + 4 + 0 + 1 = 45  

1. What is the binary equivalent of the decimal number 58?

• [x] A. $111010_2$
• [ ] B. $101110_2$
• [ ] C. $111001_2$
• [ ] D. $110110_2$

58 ÷ 2 = 29 R0
      ↓
29 ÷ 2 = 14 R1
      ↓
14 ÷ 2 = 7  R0
      ↓
7 ÷ 2 = 3  R1 
      ↓
3 ÷ 2 = 1  R1
      ↓                      
1 ÷ 2 = 0  R1

Read remainders backwards (R↑): 111010₂  

1. Convert the binary number $11001111_2$ into hexadecimal.

• [x] A. CF
• [ ] B. DC
• [ ] C. AF
• [ ] D. FE

Group in 4 bits:
 1100 1111 → C F

1. Convert the hexadecimal number into $3A_{16}$ into decimal.

• [ ] A. 56