Find the resistance value of the carbon resistors shown below.
$(a)$ Red,Red,Red,Silver
$(b)$ Yellow,Violet,Brown,Golden

(N/A) The resistance of a carbon resistor is determined by its color code: $R = (AB \times 10^C \pm D\%) \Omega$,where $A$ and $B$ are the first two significant figures,$C$ is the multiplier,and $D$ is the tolerance.
$(a)$ Colors: Red,Red,Red,Silver
- Significant figures: Red = $2$,Red = $2$
- Multiplier: Red = $10^2$
- Tolerance: Silver = $\pm 10\%$
- Resistance: $R = (22 \times 10^2 \pm 10\%) \Omega = (2200 \pm 10\%) \Omega$
$(b)$ Colors: Yellow,Violet,Brown,Golden
- Significant figures: Yellow = $4$,Violet = $7$
- Multiplier: Brown = $10^1$
- Tolerance: Golden = $\pm 5\%$
- Resistance: $R = (47 \times 10^1 \pm 5\%) \Omega = (470 \pm 5\%) \Omega$